Math

Question Solve the linear equation 2m+1=92m + 1 = 9 for the value of mm.

Studdy Solution

STEP 1

Assumptions
1. We are given a linear equation 2m+1=92m + 1 = 9.
2. We need to solve for the variable mm.

STEP 2

To solve for mm, we need to isolate the variable on one side of the equation. We start by subtracting 1 from both sides of the equation to remove the constant term from the left side.
2m+11=912m + 1 - 1 = 9 - 1

STEP 3

Perform the subtraction on both sides.
2m=82m = 8

STEP 4

Now, we need to isolate mm by dividing both sides of the equation by 2, the coefficient of mm.
2m2=82\frac{2m}{2} = \frac{8}{2}

STEP 5

Perform the division to solve for mm.
m=4m = 4
The solution to the equation 2m+1=92m + 1 = 9 is m=4m = 4.

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